TSTP Solution File: NUM924_4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM924_4 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C3QPDshvL4 true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:44:49 EDT 2023
% Result : Theorem 39.21s 6.24s
% Output : Refutation 39.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 61
% Syntax : Number of formulae : 157 ( 116 unt; 41 typ; 0 def)
% Number of atoms : 116 ( 105 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 996 ( 6 ~; 0 |; 0 &; 990 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 22 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_int_bool_type,type,
fun_int_bool: $tType ).
thf(fun_int_fun_int_bool_type,type,
fun_int_fun_int_bool: $tType ).
thf(int_type,type,
int: $tType ).
thf(fun_int_int_type,type,
fun_int_int: $tType ).
thf(fun_int_fun_int_int_type,type,
fun_int_fun_int_int: $tType ).
thf(fun_nat_int_type,type,
fun_nat_int: $tType ).
thf(fun_int_fun_nat_int_type,type,
fun_int_fun_nat_int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(fun_int_nat_type,type,
fun_int_nat: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(hAPP_int_nat_type,type,
hAPP_int_nat: fun_int_nat > int > nat ).
thf(hAPP_nat_int_type,type,
hAPP_nat_int: fun_nat_int > nat > int ).
thf(suc_type,type,
suc: fun_nat_nat ).
thf(plus_plus_int_type,type,
plus_plus_int: fun_int_fun_int_int ).
thf(bit1_type,type,
bit1: fun_int_int ).
thf(one_one_int_type,type,
one_one_int: int ).
thf(pls_type,type,
pls: int ).
thf(min_type,type,
min: int ).
thf(bit0_type,type,
bit0: fun_int_int ).
thf(number_number_of_nat_type,type,
number_number_of_nat: fun_int_nat ).
thf(number_number_of_int_type,type,
number_number_of_int: fun_int_int ).
thf(hAPP_int_fun_nat_int_type,type,
hAPP_int_fun_nat_int: fun_int_fun_nat_int > int > fun_nat_int ).
thf(zero_zero_int_type,type,
zero_zero_int: int ).
thf(nat_1_type,type,
nat_1: fun_int_nat ).
thf(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: fun_int_fun_int_bool > int > fun_int_bool ).
thf(hAPP_int_bool_type,type,
hAPP_int_bool: fun_int_bool > int > bool ).
thf(hAPP_int_fun_int_int_type,type,
hAPP_int_fun_int_int: fun_int_fun_int_int > int > fun_int_int ).
thf(power_power_int_type,type,
power_power_int: fun_int_fun_nat_int ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(m_type,type,
m: int ).
thf(uminus_uminus_int_type,type,
uminus_uminus_int: fun_int_int ).
thf(hAPP_int_int_type,type,
hAPP_int_int: fun_int_int > int > int ).
thf(succ_type,type,
succ: fun_int_int ).
thf(t_type,type,
t: int ).
thf(s_type,type,
s: int ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(ord_less_int_type,type,
ord_less_int: fun_int_fun_int_bool ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(hAPP_nat_nat_type,type,
hAPP_nat_nat: fun_nat_nat > nat > nat ).
thf(times_times_int_type,type,
times_times_int: fun_int_fun_int_int ).
thf(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ) ).
thf(zip_derived_cl2,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(cnf,[status(esa)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
thf(fact_256_Pls__def,axiom,
pls = zero_zero_int ).
thf(zip_derived_cl377,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl377_001,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7506,plain,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl377,zip_derived_cl377]) ).
thf(fact_3538_minus__Min,axiom,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ pls ) ) ).
thf(zip_derived_cl4767,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ pls ) ),
inference(cnf,[status(esa)],[fact_3538_minus__Min]) ).
thf(zip_derived_cl377_002,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(fact_399_semiring__one__add__one__is__two,axiom,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int )
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl546,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int )
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_399_semiring__one__add__one__is__two]) ).
thf(zip_derived_cl377_003,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7543,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int )
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl377]) ).
thf(zip_derived_cl7549_004,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7563,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int )
= ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7543,zip_derived_cl7549]) ).
thf(fact_53_number__of__is__id,axiom,
! [K_2: int] :
( ( hAPP_int_int @ number_number_of_int @ K_2 )
= K_2 ) ).
thf(zip_derived_cl72,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl7623,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7563,zip_derived_cl72]) ).
thf(fact_3294_succ__def,axiom,
! [K_2: int] :
( ( hAPP_int_int @ succ @ K_2 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ K_2 ) @ one_one_int ) ) ).
thf(zip_derived_cl4434,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(zip_derived_cl7626,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl72_005,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(fact_126_mult__Bit0,axiom,
! [K_2: int,L_2: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ bit0 @ K_2 ) ) @ L_2 )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ K_2 ) @ L_2 ) ) ) ).
thf(zip_derived_cl187,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ bit0 @ X0 ) ) @ X1 )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_126_mult__Bit0]) ).
thf(fact_691_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [M_28: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ M_28 ) @ M_28 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int ) ) @ M_28 ) ) ).
thf(zip_derived_cl886,plain,
! [X0: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ one_one_int ) @ one_one_int ) ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_691_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
thf(fact_266_Bit0__def,axiom,
! [K_2: int] :
( ( hAPP_int_int @ bit0 @ K_2 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ K_2 ) @ K_2 ) ) ).
thf(zip_derived_cl391,plain,
! [X0: int] :
( ( hAPP_int_int @ bit0 @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_266_Bit0__def]) ).
thf(zip_derived_cl4434_006,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(zip_derived_cl7743,plain,
! [X0: int] :
( ( hAPP_int_int @ bit0 @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ succ @ one_one_int ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl886,zip_derived_cl391,zip_derived_cl4434]) ).
thf(zip_derived_cl4434_007,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(fact_3293_succ__Bit0,axiom,
! [K_2: int] :
( ( hAPP_int_int @ succ @ ( hAPP_int_int @ bit0 @ K_2 ) )
= ( hAPP_int_int @ bit1 @ K_2 ) ) ).
thf(zip_derived_cl4433,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ ( hAPP_int_int @ bit0 @ X0 ) )
= ( hAPP_int_int @ bit1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_3293_succ__Bit0]) ).
thf(fact_54_zmult__commute,axiom,
! [Z_1: int,W: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ Z_1 ) @ W )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ W ) @ Z_1 ) ) ).
thf(zip_derived_cl73,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_54_zmult__commute]) ).
thf(fact_3_t,axiom,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) ).
thf(zip_derived_cl3,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(cnf,[status(esa)],[fact_3_t]) ).
thf(zip_derived_cl377_008,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl377_009,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7509,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl377,zip_derived_cl377]) ).
thf(zip_derived_cl7549_010,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7549_011,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7550,plain,
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ) ) ) @ one_one_int )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl7509,zip_derived_cl7549,zip_derived_cl7549]) ).
thf(zip_derived_cl7626_012,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(fact_2714_nat__number__of__def,axiom,
! [V_2: int] :
( ( hAPP_int_nat @ number_number_of_nat @ V_2 )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ number_number_of_int @ V_2 ) ) ) ).
thf(zip_derived_cl3598,plain,
! [X0: int] :
( ( hAPP_int_nat @ number_number_of_nat @ X0 )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ number_number_of_int @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_2714_nat__number__of__def]) ).
thf(zip_derived_cl72_013,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl7812,plain,
! [X0: int] :
( ( hAPP_int_nat @ number_number_of_nat @ X0 )
= ( hAPP_int_nat @ nat_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl72]) ).
thf(fact_3196_semiring__norm_I115_J,axiom,
( ( hAPP_nat_nat @ suc @ ( hAPP_nat_nat @ suc @ zero_zero_nat ) )
= ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ).
thf(zip_derived_cl4266,plain,
( ( hAPP_nat_nat @ suc @ ( hAPP_nat_nat @ suc @ zero_zero_nat ) )
= ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ),
inference(cnf,[status(esa)],[fact_3196_semiring__norm_I115_J]) ).
thf(fact_3057_One__nat__def,axiom,
( one_one_nat
= ( hAPP_nat_nat @ suc @ zero_zero_nat ) ) ).
thf(zip_derived_cl4074,plain,
( one_one_nat
= ( hAPP_nat_nat @ suc @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_3057_One__nat__def]) ).
thf(zip_derived_cl377_014,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549_015,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7626_016,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl7812_017,plain,
! [X0: int] :
( ( hAPP_int_nat @ number_number_of_nat @ X0 )
= ( hAPP_int_nat @ nat_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl72]) ).
thf(zip_derived_cl7829,plain,
( ( hAPP_nat_nat @ suc @ one_one_nat )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ succ @ one_one_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4266,zip_derived_cl4074,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl7812]) ).
thf(fact_362_power2__eq__square__number__of,axiom,
! [W_8: int] :
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ ( hAPP_int_int @ number_number_of_int @ W_8 ) ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ W_8 ) ) @ ( hAPP_int_int @ number_number_of_int @ W_8 ) ) ) ).
thf(zip_derived_cl502,plain,
! [X0: int] :
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ ( hAPP_int_int @ number_number_of_int @ X0 ) ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ X0 ) ) @ ( hAPP_int_int @ number_number_of_int @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_362_power2__eq__square__number__of]) ).
thf(zip_derived_cl72_018,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl377_019,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549_020,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7626_021,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl7812_022,plain,
! [X0: int] :
( ( hAPP_int_nat @ number_number_of_nat @ X0 )
= ( hAPP_int_nat @ nat_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl72]) ).
thf(zip_derived_cl7829_023,plain,
( ( hAPP_nat_nat @ suc @ one_one_nat )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ succ @ one_one_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4266,zip_derived_cl4074,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl7812]) ).
thf(zip_derived_cl72_024,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl72_025,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl8006,plain,
! [X0: int] :
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ X0 ) @ ( hAPP_nat_nat @ suc @ one_one_nat ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl72,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl7812,zip_derived_cl7829,zip_derived_cl72,zip_derived_cl72]) ).
thf(zip_derived_cl4434_026,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(zip_derived_cl7626_027,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl72_028,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl187_029,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ bit0 @ X0 ) ) @ X1 )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_126_mult__Bit0]) ).
thf(zip_derived_cl7743_030,plain,
! [X0: int] :
( ( hAPP_int_int @ bit0 @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ succ @ one_one_int ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl886,zip_derived_cl391,zip_derived_cl4434]) ).
thf(zip_derived_cl4434_031,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(zip_derived_cl4433_032,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ ( hAPP_int_int @ bit0 @ X0 ) )
= ( hAPP_int_int @ bit1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_3293_succ__Bit0]) ).
thf(zip_derived_cl73_033,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X1 ) @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_54_zmult__commute]) ).
thf(zip_derived_cl8553,plain,
( ( hAPP_int_int @ succ @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ s ) @ s ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ t ) @ ( hAPP_int_int @ bit1 @ ( hAPP_int_int @ bit0 @ m ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7550,zip_derived_cl7626,zip_derived_cl7812,zip_derived_cl7829,zip_derived_cl8006,zip_derived_cl4434,zip_derived_cl7626,zip_derived_cl72,zip_derived_cl187,zip_derived_cl7743,zip_derived_cl4434,zip_derived_cl4433,zip_derived_cl73]) ).
thf(zip_derived_cl7549_034,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7626_035,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl72_036,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl187_037,plain,
! [X0: int,X1: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ bit0 @ X0 ) ) @ X1 )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_126_mult__Bit0]) ).
thf(zip_derived_cl7743_038,plain,
! [X0: int] :
( ( hAPP_int_int @ bit0 @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ succ @ one_one_int ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl886,zip_derived_cl391,zip_derived_cl4434]) ).
thf(zip_derived_cl4434_039,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(zip_derived_cl4433_040,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ ( hAPP_int_int @ bit0 @ X0 ) )
= ( hAPP_int_int @ bit1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_3293_succ__Bit0]) ).
thf(fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_221: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ A_221 ) @ zero_zero_int )
= zero_zero_int ) ).
thf(zip_derived_cl760,plain,
! [X0: int] :
( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ zero_zero_int )
= zero_zero_int ),
inference(cnf,[status(esa)],[fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl7505,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl377_041,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549_042,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7569,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl7505,zip_derived_cl377,zip_derived_cl7549]) ).
thf(zip_derived_cl4434_043,plain,
! [X0: int] :
( ( hAPP_int_int @ succ @ X0 )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
inference(cnf,[status(esa)],[fact_3294_succ__def]) ).
thf(zip_derived_cl7625,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ succ @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ) ) ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl7569,zip_derived_cl4434]) ).
thf(zip_derived_cl7626_044,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(fact_2750_transfer__nat__int__numerals_I3_J,axiom,
( ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) ).
thf(zip_derived_cl3667,plain,
( ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ),
inference(cnf,[status(esa)],[fact_2750_transfer__nat__int__numerals_I3_J]) ).
thf(zip_derived_cl377_045,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549_046,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7626_047,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl377_048,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549_049,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7626_050,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl72_051,plain,
! [X0: int] :
( ( hAPP_int_int @ number_number_of_int @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_53_number__of__is__id]) ).
thf(zip_derived_cl7723,plain,
( ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ succ @ one_one_int ) )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ succ @ one_one_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3667,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl72]) ).
thf(zip_derived_cl7751,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ succ @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ succ @ one_one_int ) ) ) ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl7625,zip_derived_cl7626,zip_derived_cl7723]) ).
thf(fact_302_power2__eq__square,axiom,
! [A_234: int] :
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ A_234 ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ A_234 ) @ A_234 ) ) ).
thf(zip_derived_cl427,plain,
! [X0: int] :
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ X0 ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_302_power2__eq__square]) ).
thf(zip_derived_cl377_052,plain,
pls = zero_zero_int,
inference(cnf,[status(esa)],[fact_256_Pls__def]) ).
thf(zip_derived_cl7549_053,plain,
( ( hAPP_int_int @ uminus_uminus_int @ min )
= ( hAPP_int_int @ bit1 @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl4767,zip_derived_cl377]) ).
thf(zip_derived_cl7626_054,plain,
( ( hAPP_int_int @ succ @ one_one_int )
= ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ uminus_uminus_int @ min ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl4434]) ).
thf(zip_derived_cl7723_055,plain,
( ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ succ @ one_one_int ) )
= ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ succ @ one_one_int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3667,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl72]) ).
thf(zip_derived_cl7754,plain,
! [X0: int] :
( ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ X0 ) @ ( hAPP_int_nat @ nat_1 @ ( hAPP_int_int @ succ @ one_one_int ) ) )
= ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl377,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl7723]) ).
thf(zip_derived_cl7755,plain,
~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ succ @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ s ) @ s ) ) ) @ zero_zero_int ) ),
inference(demod,[status(thm)],[zip_derived_cl7751,zip_derived_cl7754]) ).
thf(zip_derived_cl9051,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7506,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl72,zip_derived_cl187,zip_derived_cl7743,zip_derived_cl4434,zip_derived_cl4433,zip_derived_cl73,zip_derived_cl8553,zip_derived_cl7549,zip_derived_cl7626,zip_derived_cl72,zip_derived_cl187,zip_derived_cl7743,zip_derived_cl4434,zip_derived_cl4433,zip_derived_cl760,zip_derived_cl7755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924_4 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C3QPDshvL4 true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 17:08:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.75/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.75/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.75/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.75/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.75/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 39.21/6.24 % Solved by fo/fo13.sh.
% 39.21/6.24 % done 0 iterations in 5.445s
% 39.21/6.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.21/6.24 % SZS output start Refutation
% See solution above
% 39.21/6.24
% 39.21/6.24
% 39.21/6.24 % Terminating...
% 39.89/6.30 % Runner terminated.
% 39.89/6.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------